I cannot believe someone would ask a person in trouble to post information that could identify her and get her into even more trouble with the Church than she is already (note that apparently her only mistake was to date a Scientologist...)
Slicer, your advice is completely irresponsible. If you feel that it is such a good idea, then post your own real information and see what happens before suggesting it to others.
I'm going to tell you what I would do if I was in your place, given the elements you have given us here.
If I was willing/able to go without it, trying to deal with them into leaving me alone (signed, sworn and approved by the judge who placed the restraining order) might be a way. I might propose to agree not to get child support for instance, since that likely means I'd have dealings with the guy over it for a long time...
That might look as a win to them, they might say "hey look, this girl thinks she's so wrong that she signed something saying he does not owe her child support", which is the idea. If I wanted to strike such a deal, I would double, heck triple proof it. I'd try to have a judge review and approve it, making it clear to the judge (privately, if necessary) what I wished this deal to accomplish. The deal would make it crystal clear that the ex-boyfriend, his lawyers or anyone associated with him or the Church of Scientology are not to contact me, my family, friends or my counsel ever again and that all current claims in justice are settled.
However, this is just a suggestion from someone who does not have the full picture, and is not a lawyer, so you need to get some more informed opinions before making any decision. You also need to make sure that you are okay with whatever actions you take. Raising a child alone is hard, more so without child support... Although if you considered abortion, you might want to consider adoption as well, but you probably thought about this a great deal already.
I do not offer advice lightly, but I have one piece for you: Talk. Talk about it to your friends, your family. Talk about it with your lawyer. Talk about it with people who have left the Church of Scientology and have had similar experiences. Don't be afraid to ask for help. Talk, talk, talk.
I truly feel sorry for you, and I sincerely hope you can have peace quickly.